An elevator can carry 27 adults or 30 children at one time. During the course of a​ day, the elevator carries a full passenger load 45 times. If all the passengers were​ children, how many more people would the elevator carry than if all the passengers were​ adults?

Answer:

\(b=\dfrac{2A}{h}\)

Step-by-step explanation:

The formula for the area of a triangle is given by :

\(A=\dfrac{1}{2}bh\) ...(1)

Where b is the length of the base and h is the height.

We need to find the value of b from the above formula.

Cross multiplying equation (1) we get :

\(2A=bh\)

Now dividing both sides by h. So,

\(\dfrac{2A}{h}=\dfrac{bh}{h}\\\\b=\dfrac{2A}{h}\)

So, the correct option is (D) i.e. \(\dfrac{2A}{h}\).

Answer:

Step-by-step explanation:

The function is continuous for x > 0 . The derivative is defined on that interval and is equal to ...

  f'(x) = -2x . . . . . for x > 0

Then at x = 1, the derivative is ...

  f'(1) = -2(1)

  f'(1) = -2

__

The function has a jump discontinuity at x=0, so the derivative does not exist at that point. A condition for the existence of the derivative is that the function is continuous at the point of interest.

For the equation P(x)=(x+5)(x-5) and q(x)=(x+3)(x-3) the graph of the two equation never intersect each other.

It is defined as the curve which is the intersection of cone and plane. There are three major conic sections; parabola, hyperbola, and ellipse (a circle is a special type of ellipse).

The given equations are,

P(x)=(x+5)(x-5)

q(x)=(x+3)(x-3)

Parabola is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

The given equation represents a parabola as the equation is graphed we see that the graph of the two never intersects each other.

Thus,for the equation P(x)=(x+5)(x-5) and q(x)=(x+3)(x-3) the graph of the two equation never intersect each other.

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Answer:

2031

Step-by-step explanation:

3000divide100=30x5=150x14=2100

2017+14=2031 w

In 2031 years, the first year with less than 1000 polar bears in the region.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The number of polar bears in a region is decreasing by 5% per year.

And, There are 3000 polar bears in the region in 2017.

Let after x years there are less than 1000 polar bears in the region.

Hence, We can formulate;

⇒ 3000 - 5% of 3000 × x < 1000

⇒ 3000 - 5/100 × 3000 × x < 1000

⇒ 3000 - 150x < 1000

⇒ 3000 - 1000 < 150x

⇒ 2000 < 150x

⇒ 2000/150 < x

⇒ 13.33 < x

So, The first  year with less than 1000 polar bears in the region is getting after 14 years.

So, The value of years = 2017 + 14

                                   = 2031

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Answer:

  (d)  34 square units

Step-by-step explanation:

There are several ways to determine the correct choice of answer. You can estimate the area, or make use of the fact that the vertices are on grid points. You can also figure the area by finding the lengths of the sides of the rectangle and using the area formula for a rectangle.

__

Each long side has a vertical extent of about 8 units. The left side, for example, extends from y=-4 to y=+4. Each short side has a horizontal extent of 4 units. The top extends from x=-1 to x=3, for example. The product of these lengths is an approximation of the area of the rectangle:

  8×4 = 32

This tells you the area is not any of the first three answer choices:

The fact that each side length is slightly longer than the estimated value we used means the area is more than 32. 34 square units is the best estimate.

__

When a figure is bounded by straight lines and has vertices on grid points, the area can be found exactly using Pick's theorem. It tells you the area is ...

  A = i +b/2 -1

where i is the number of interior grid points and b is the number of grid points on the boundary.

The boundary lines cross the grid at an angle, so only intercept certain grid points. The four vertices are on grid points (of course), and there is a grid point on the boundary at the midpoint of each side. That's a total of 6 boundary grid points.

One can count the interior grid points, or recognize there is a 4×4 array of them on and above the x-axis, and a similar array below the x-axis. That's a total of 32 interior grid points.

By Pick's theorem, the area of the rectangle is ...

  A = i +b/2 -1 = 32 +6/2 -1 = 34 . . . square units

Note that Pick's theorem is telling you any figure with vertices on the grid will always have an area that is a whole number of half square units. The area will never be irrational.

__

As we noted above, the horizontal extent of the top and bottom sides is 4 units. Each of those sides has a corresponding vertical extent of 1 unit. Its length is the hypotenuse of a right triangle with legs 4 and 1, so can be found using the Pythagorean theorem:

  c² = a² +b²

  c = √(a² +b²) = √(4² +1²) = √17

Looking carefully at the long sides of the rectangle, we see that each of those is double this length. Then the rectangle's area is ...

  A = bh = (√17)(2√17) = 2·17 = 34 . . . square units

Answer:

3

−

9

=

−

3

9

3

−

6

=

-21

Step-by-step explanation:

3x​−9y=−39, 3x−6y=−21 : x=5, y=6

Steps

[ ​3x−9y=−39 3x−6y=−21 ]

Show Steps

Isolate x for 3x−9y=−39: x=−13+3y

Substitute x=−13+3y

[ 3(−13+3y)−6y=−21 ]

Show Steps

Simplify

[ −39+3y=−21 ]

Show Steps

Isolate y for −39+3y=−21: y=6

For x=−13+3y

Substitute y=6

x=−13+3· 6

Simplify

x=5

The solutions to the system of equations are:

Answer:

W > 2

Step-by-step explanation:

-2W + 17 < 13

-2W < -4

W > 2

The statement that the one with a higher coefficient of variation exhibits higher variability is true.

The coefficient of variation expresses the proportionate level of variability present in a random variable and can be determined by dividing the mean by the standard deviation.

If the coefficient of variation is higher, it means that the random variable shows more variation in relation to its mean.

To illustrate, suppose that the average height of a set of males is 6 feet with a standard deviation of 2 inches.

The variance ratio would result in a coefficient of variation of 0. 033 Suppose that a group of females has an average height of 5 feet with a standard deviation of 1 inch.

The women's coefficient of variation is calculated to be 0. 02 The variance of men's height in relation to their average height is indicated by their higher coefficient of variation.

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Answer:

m = 3

Step-by-step explanation:

Given:

\(2^{m-3}\) = 1

Take the logarithm of both sides (logarithm of 1 is 0):

m - 3 = 0

Add 3 to both sides:

m - 3 + 3 = 0 + 3

m = 3

Hence, m = 3.

Logarithm is the power to which a number must be raised in order to get some other number. For example:

The equation of the line that passes through (4, 3) and (-4, -1) is y = -x/2 + 5. So, correct option is A.

To find the equation of the line that passes through two given points, we use the slope-intercept form of a linear equation, which is:

y = mx + b

where m is the slope of the line and b is the y-intercept.

First, we need to find the slope of the line using the two given points. The formula for finding slope between two points is:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Substituting the given points into the formula, we get:

m = (-1 - 3) / (-4 - 4) = -4/8 = -1/2

Now we know the slope, we can use one of the given points (4, 3) and substitute the slope into the slope-intercept form of the equation and solve for b.

y = mx + b

3 = (-1/2)(4) + b

3 = -2 + b

b = 5

Therefore, the equation of the line that passes through (4, 3) and (-4, -1) is:

y = -x/2 + 5

So, correct option is A.

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Complete question is:

What is the equation of the line that passes through (4, 3) and (-4, -1)?

Choices:

y = -x/2 + 5

y=2x+7

y=x/2 +1

y= -x/2 +7

Answer

3/10

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

center of circle = (2,-1)

r = 6 -2 = 4

We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius.

so the equation will be:

( x - 2 )^2 + ( y +1 )^2 =16

Answer:

58000

Step-by-step explanation:

58×1000=58000

Hope it helps :)

Answer:

58000

Step-by-step explanation:

58 times 1000 is equal to 58000

because 1000 has 3 zeros, you just add them to your number

the word 'product' means to multiply

please give me a brainliest!!<3

Answer:

5

Step-by-step explanation:

A tech company bought a number of computers for its employees: 6 costing $1600 each, 4 costing $1200 each, and y costing $900 each, where y is a positive odd integer. what is the greatest possible value of y

Solution:

The median of a group of numbers is the middle number when the group of numbers have been arranged either in ascending of descending other. The median of an even group of numbers is the average of the two most middle most numbers while the median of an odd group of numbers is the middle number.

Since there are 6 computers costing $1600, 4 computers costing $1200 each and y computers costing $900 each. Since y is odd, hence y + 6 + 4 would be odd and the median would be the middle number.

Given that the median price = $1200, this means that the middle of the group of numbers is $1200

900, 900, ..., 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600

Since y is odd, for the median price to be $1200, y has to be 3 or 5.

If y = 3:

900, 900, 900, 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600

median = $1200

If y = 5:

900, 900, 900, 900, 900, 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600

Median = $1200

Therefore the greatest possible value of y is 5

By knowing that the median must be $1,200, we will see that the greatest possible value of y is y = 9.

We know that the company bought:

We know that y is a positive odd number.

We also know that the median is $1200, now we want to get the maximum value of y such that the median is $1200. (Remember that the median is the value of the middle element of the set).

Then we will have the distribution:

{ y elements,  $1200, the other 3 $1200 computers plus the 6 $1600 computers}

Notice that y (the number of elements at the left of the median) must be equal to the number at the right of the median.

At the right of the median, we have a total of 9 computers, then y must be equal to 9.

The greatest possible value of y is 9.

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a. The value of c in the probability mass function when x is a discrete random variable is 0.15

b. The value of P(x > 3)  is 0.25

c. The value of P(3 ≤ x ≤ 5) is 0.15

d.  the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.

In probability mass function, sum of the probabilities for all possible values of x must be equal to 1

Thus,

0.2 + 2c + 0.2 + c + 0.1 = 1

Solve for c

c = 0.15

Hence, the probability mass function for x can be rewritten as;

x:      0     1     2   4     10

p(x): 0.2 0.3 0.2 0.15 0.1

To find P(x > 3), add the probabilities for all values of x that are greater than 3. The values greater than 3 are 4 and 10

sum of their  probabilities

P(x > 3) = P(x = 4) + P(x = 10)

= 0.15 + 0.1

= 0.25

To find P(3 ≤ x ≤ 5),sum the probabilities for all values of x between 3 and 5, inclusive:

P(3 ≤ x ≤ 5) = P(x = 4)

= 0.15

To find P(x < 6 | x ≥ 1), use the formula for conditional probability:

P(x < 6 | x ≥ 1) = P(x < 6 and x ≥ 1) / P(x ≥ 1)

To find the numerator, we sum the probabilities for all values of x between 1 and 5, inclusive

P(x < 6 and x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4)

= 0.3

To find the denominator, we sum the probabilities for all values of x greater than or equal to 1:

P(x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4) + P(x = 10)

= 0.85

Therefore, we have

P(x < 6 | x ≥ 1) = (0.3 / 0.85) ≈ 0.353

Thus, the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.

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Answer:

(C) 49

Step-by-step explanation:

y=3.4^2+1

y=3.16+1

y=48+1=49

=>Output is 49.

Answer:

(c) 49

Step-by-step explanation:

I did the quiz and got this answer correct :)

Answer:

41.0501 ft²

Step-by-step explanation:

Area of a Sector (Radians): A = 1/2r²∅

We are given r and ∅, so simply plug it into the formula:

A = 1/2(5.6)²(5π/6)

A = 1/2(31.36)(5π/6)

A = 15.68(5π/6)

A = 41.0501 ft²

Step-by-step explanation:

eij2wutj2o2djehs9dowjd9wifbwbgeodje

The decibel measurement for the quiet room is 54 dB.

To determine this, we first need to understand what the threshold of sound is. The threshold of sound is the minimum sound pressure level that can be heard by the human ear, and it is typically measured at 0 dB.

Next, we can use the formula for decibel measurement:

dB = 10 log (I/I0)

where I is the intensity of the sound in the quiet room, and I0 is the threshold of sound.

Since the noise in the quiet room is 500 times as intense as the threshold of sound, we can plug in the values into the formula:

dB = 10 log (500/1)

dB = 10 log (500)

dB = 10 * 2.7

dB = 27

Therefore, the decibel measurement for the quiet room is 27 dB. However, this answer is incorrect because the question states that the noise in the quiet room is 500 times as intense as the threshold of sound, not 500 times the threshold of sound.

To correct this mistake, we need to use the formula for decibel measurement with the correct values:

dB = 10 log (500 * I0/I0)

dB = 10 log (500)

dB = 10 * 2.7

dB = 27

Therefore, the decibel measurement for the quiet room is 27 dB + 27 dB = 54 dB.

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Answer:

5:8.

Step-by-step explanation:

1) if the Jen's age is 'J' and Stan's is 'S', then it is possible to write:

2) 0.4J=0.25S; and

3) the required ratio is:

J:S=25:40; ⇒ J:S=5:8.

Answer: 10/40 or 1/4

Step-by-step explanation:

Add up all the amount of rolls, so 10+6+4+8+6+6=40

then add the probability of rolling a 3 or 6 = 10

divide that quantity out of the whole

answer is 10/40 and simplified is 1/4

hope it helps

Answer:

c. 6x + 15 = 39

Step-by-step explanation:

hope this helps

The height of the mountain is 0. 2 km

First, let's find the hypotenuse of the second triangle

Using the tangent identity, we have;

tan θ = opposite/ adjacent

tan 3. 5 = x/ 19

cross multiply

x = tan 3 . 5 × 19

x = 0. 061 × 19

x = 1. 16 km

Now, we have the hypotenuse side of the second triangle and we need to find the opposite side which is the height of the mountain

Using the sine identity:

sin 9 = y/ 1.16

cross multiply

y = sin 9 × 1. 16

y = 0. 1564 × 1. 16

y = 0. 18 km

y = 0. 2 km in one decimal place

Thus, the height of the mountain is 0. 2 km

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What is 888 x - 666? = -591408

\(Hello\) \(There!\)

Ummmmm... I could be wrong?

I think it is...

-591408

Hopefully, this helps you!!

\(AnimeVines\)

Answer:

The value of y is 216

(and the value of x is 12)

Step-by-step explanation:

The general formula for a geometric sequence is,

\(a_n = a_1(r)^{n-1}\)

Where n represents the nth term, a_1 is the first term and r is the common ratio,

we see that,

r = 6,

the first term is,

a_1 = (x-6)

the 2nd term is,

a_2 = 3x,

the 3rd term is,

a_3 = y, finding y,

first we find x, using the above given formula we have,

\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)

x = 12,

Now, for y we can use the relation between a_3 and a_2,

\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)

y = 216

Number of car sold are 98.

Number of trucks sold are 66.

Given,

Dealer 1 sold 164 cars and trucks and dealer 2 sold 229 cars and trucks .

Let number of cars sold are x.

Let number of cars sold of y .

Now,

For dealership 1 equation will be,

x + y = 164  ......(1)

For dealership 2 equation will be,

As the cars are sold twice and trucks are sold half .

2x + y/2 = 229......(2)

Solving 1 and 2,

y = 66

x = 98

Thus number of car sold are 98.

Thus number of trucks sold are 66.

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Answer

Pentadecagon

Step-by-step explanation

The sum of the interior angle measures (in degrees) of a regular polygon is:

where n is the number of sides of the polygon.

Substituting with sum of interior angles = 2340° and solving for n:

This number of sides corresponds to a pentadecagon.